125198080 has 144 divisors (see below), whose sum is σ = 348788160. Its totient is φ = 42172416.

The previous prime is 125198071. The next prime is 125198089. The reversal of 125198080 is 80891521.

It is an interprime number because it is at equal distance from previous prime (125198071) and next prime (125198089).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125198089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797362 + ... + 797518.

It is an arithmetic number, because the mean of its divisors is an integer number (2422140).

Almost surely, 2^125198080 is an apocalyptic number.

125198080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174394080).

125198080 is an abundant number, since it is smaller than the sum of its proper divisors (223590080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125198080 is an equidigital number, since it uses as much as digits as its factorization.

125198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The square root of 125198080 is about 11189.1947878299. The cubic root of 125198080 is about 500.2639672847.

The spelling of 125198080 in words is "one hundred twenty-five million, one hundred ninety-eight thousand, eighty".